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130232341140 = 223511229361223
BaseRepresentation
bin111100101001001110…
…0111101001010010100
3110110011010010101202020
41321102130331022110
54113203434404030
6135454455013140
712260164430526
oct1712234751224
9413133111666
10130232341140
115025a841500
12212a666a1b0
13c3860735b5
1464362a9a16
1535c345a510
hex1e5273d294

130232341140 has 144 divisors (see below), whose sum is σ = 402188782464. Its totient is φ = 31463210240.

The previous prime is 130232341087. The next prime is 130232341147. The reversal of 130232341140 is 41143232031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130232341140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130232341147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096569 + ... + 2157791.

It is an arithmetic number, because the mean of its divisors is an integer number (2792977656).

Almost surely, 2130232341140 is an apocalyptic number.

130232341140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130232341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201094391232).

130232341140 is an abundant number, since it is smaller than the sum of its proper divisors (271956441324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130232341140 is a wasteful number, since it uses less digits than its factorization.

130232341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61550 (or 61537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130232341140 its reverse (41143232031), we get a palindrome (171375573171).

The spelling of 130232341140 in words is "one hundred thirty billion, two hundred thirty-two million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 293 330 363 484 586 605 660 726 879 1172 1210 1452 1465 1758 1815 2420 2930 3223 3516 3630 4395 5860 6446 7260 8790 9669 12892 16115 17580 19338 32230 35453 38676 48345 61223 64460 70906 96690 106359 122446 141812 177265 183669 193380 212718 244892 306115 354530 367338 425436 531795 612230 673453 709060 734676 918345 1063590 1224460 1346906 1836690 2020359 2127180 2693812 3367265 3673380 4040718 6734530 7407983 8081436 10101795 13469060 14815966 17938339 20203590 22223949 29631932 35876678 37039915 40407180 44447898 53815017 71753356 74079830 88895796 89691695 107630034 111119745 148159660 179383390 197321729 215260068 222239490 269075085 358766780 394643458 444478980 538150170 591965187 789286916 986608645 1076300340 1183930374 1973217290 2170539019 2367860748 2959825935 3946434580 4341078038 5919651870 6511617057 8682156076 10852695095 11839303740 13023234114 21705390190 26046468228 32558085285 43410780380 65116170570 130232341140